Problem

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Some teachers travelled to school by car. The table shows the number of teachers in the cars.
\begin{tabular}{|c|c|}
\hline $\begin{array}{c}\text { Number of teachers } \\
\text { in one car }\end{array}$ & Number of cars \\
\hline 1 & 3 \\
\hline 2 & 4 \\
\hline 3 & 6 \\
\hline 4 & 2 \\
\hline
\end{tabular}
a) What was the modal number of teachers in a car?
b) What was the median number of teachers in a car?
c) What was the mean number of teachers in a car?

Answer

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Answer

\(\boxed{\text{Modal} = 3, \text{Median} = 3, \text{Mean} \approx 2.47}\)

Steps

Step 1 :Find the mode by looking at the highest number of cars for a given number of teachers in one car: \(\text{Mode} = 3\)

Step 2 :Find the median by ordering the dataset and finding the middle value: \(\text{Median} = 3\)

Step 3 :Find the mean by dividing the total number of teachers by the total number of cars: \(\text{Mean} = \frac{37}{15} \approx 2.47\)

Step 4 :\(\boxed{\text{Modal} = 3, \text{Median} = 3, \text{Mean} \approx 2.47}\)

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